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34390036269 = 361572691117
BaseRepresentation
bin100000000001110011…
…100100111100101101
310021202200220212000000
4200001303210330231
51030412322130034
623444253454513
72325134325261
oct400163447455
9107680825000
1034390036269
1113648308286
1267b91a1439
133320a49bb4
1419434cc0a1
15d64245599
hex801ce4f2d

34390036269 has 56 divisors (see below), whose sum is σ = 52129410840. Its totient is φ = 22675655808.

The previous prime is 34390036231. The next prime is 34390036319. The reversal of 34390036269 is 96263009343.

It can be written as a sum of positive squares in 4 ways, for example, as 2335788900 + 32054247369 = 48330^2 + 179037^2 .

It is not a de Polignac number, because 34390036269 - 223 = 34381647661 is a prime.

It is a super-2 number, since 2×343900362692 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34390036069) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 30787299 + ... + 30788415.

Almost surely, 234390036269 is an apocalyptic number.

It is an amenable number.

34390036269 is a deficient number, since it is larger than the sum of its proper divisors (17739374571).

34390036269 is a wasteful number, since it uses less digits than its factorization.

34390036269 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 34390036269 in words is "thirty-four billion, three hundred ninety million, thirty-six thousand, two hundred sixty-nine".

Divisors: 1 3 9 27 81 157 243 269 471 729 807 1117 1413 2421 3351 4239 7263 10053 12717 21789 30159 38151 42233 65367 90477 114453 126699 175369 196101 271431 300473 380097 526107 814293 901419 1140291 1578321 2704257 3420873 4734963 8112771 10262619 14204889 24338313 30787857 42614667 47174261 73014939 127844001 141522783 219044817 424568349 1273705047 3821115141 11463345423 34390036269